How many real roots does x^4 - 2x^2 + 1 = 0 have?

A. 0
B. 1
C. 2
D. 3
E. 4

How many real roots does the equation x^2y+16xy+64y=0, Have if y < 0?

A. 0
B. 1
C. 2
D. 3
E. Infinite

­If |x+2| = |x|, how many values of x satisfy this equation?

A. 0
B. 1
C. 2
D. 3
E. 4­

Four packages have an average weight of 10.5 pounds. What is the minimum possible weight of the heaviest package in pounds if the median is 10 pounds?

A. 10
B. 10.5
C. 11
D. 12
E. 13

What is the sum of all possible solutions of the equation |x + 4|^2 - 10|x + 4| = 24?

A. -16
B. -14
C. -12
D. -8
E. -6

If x^2 + y^2 = 100, and x≥0, and y≥0, the maximum value of x + y is

A. Less than 10
B. Greater than or equal to 10 and less than 14
C. Greater than 14 and less than 19
D. Greater than 19 and less than 23
E. Greater than 23

If f(x) = 5x^2 and g(x) = x^2 + 12x + 85, what is the sum of all values for k such that f(k + 2) = g(2k)?

A. -8
B. -4
C. 4
D. 8
E. 65

The scores of A and B in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of B’s new score to that of his original score is

A. 5 : 4
B. 8 : 5
C. 4 : 3
D. 3 : 2
E. 8 : 3

If x^2−2xy=84 and x−y=−10, What is the value of |y|?

A. 0
B. 2
C. 3
D. 4
E. 6

If x and y are nonnegative integers and 5x + 2y = 32, how many values of x are there?

A. 1
B. 2
C. 3
D. 4
E. 6